257319 has 6 divisors (see below), whose sum is σ = 371696. Its totient is φ = 171540.

The previous prime is 257311. The next prime is 257321. The reversal of 257319 is 913752.

It is not a de Polignac number, because 257319 - 2³ = 257311 is a prime.

It is a super-2 number, since 2×257319² = 132426135522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 257292 and 257301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14287 + ... + 14304.

2²⁵⁷³¹⁹ is an apocalyptic number.

257319 is a deficient number, since it is larger than the sum of its proper divisors (114377).

257319 is a wasteful number, since it uses less digits than its factorization.

257319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28597 (or 28594 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 257319 is about 507.2662023041. The cubic root of 257319 is about 63.6049064685.

It can be divided in two parts, 257 and 319, that added together give a square (576 = 24²).

The spelling of 257319 in words is "two hundred fifty-seven thousand, three hundred nineteen".